Steve started an after-school homework club. The club starts with 6 members and 3 more students join each
week. Define variables and write an equation to model the number of students in the club.

Answer:

-21 and 8

Step-by-step explanation:

-21 × 8 = -168 and -21 + 8 = -13

Hope this helps!

The volume of the cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]

Volume =  [tex]\frac{1}{3} \pi *(3)^{2} *12 = 113.04ft^3[/tex]

Hope that helps!

Answer: carter has not saved any money

Step-by-step explanation:

Answer:

https://brainly.com/question/7699717

Step-by-step explanation:

Answer:

■ Sales tax: $36.00

■ Cost/Price before ST: $719.99

■ Total Cost/Price including ST: $755.99

Step-by-step explanation:

Answer: $755.99

Step-by-step explanation: The first step in finding how much an item or product costs with tax is to take the price of the product and multiply it by the percentage of sales tax to find out how much the tax costs. The next step is to take this cost of the tax and add it to the original price of the product. This gives you your final cost. This gives us the following equations.

In this problem the sales tax is 5%, which is equal to 0.05

(719.99) (0.05) = 35.9995

35 + 719.99 = 755.9895

The answer we get from the equations is 755.9895. Rounding to the nearest penny, or hundredth space, gives us our final answer of $755.99

According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.

It is given by the multiplication of the base area by the height, that is:

[tex]V = S_bh[/tex]

In this problem, we have that the measures in square inches and inches, respectively, are given by:

[tex]S_b = 400, h = 17[/tex]

Hence:

[tex]V = 400 \times 17 = 6800[/tex]

The volume of paper in the recycling bin is of 6800 cubic inches.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

Answer:

6800

Step-by-step explanation:

Answer:

164 cm²

Step-by-step explanation:

Take the 2 shapes and find the areas

Triangle area = (bh)/2

                          13 × 8 × 0.5 = 52

Rectangle area = 16 × 7 = 112

Add up the areas

112 + 52 = 164

Answer:

136 cm²

Step-by-step explanation:

The composite figure is made up of a triangle and a rectangle.

Area of the triangle

[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\ \implies \textsf{Area of $\triangle ABD$}&=\dfrac{1}{2} \times BD \times AB\\&=\dfrac{1}{2} \times (16-8) \times (13-7)\\&=\dfrac{1}{2} \times 8 \times 6\\&=4 \times 6\\&=24\; \sf cm^2\end{aligned}}[/tex]

Area of the rectangle

[tex]\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\\\ \implies \textsf{Area of rectangle $BCFE$}&= EF \times CF\\&=7 \times 16\\&=112\; \sf cm^2\end{aligned}}[/tex]

Therefore, the area of the composite figure is:

[tex]\boxed{\begin{aligned}\textsf{Area of the composite figure}&=\sf Triangle + Rectangle\\ & = 24 + 112\\&=136\; \sf cm^2\end{aligned}}[/tex]

Step-by-step explanation:

for number 8. The slope is -3 because the standard form equation is y=mx+c. And we know that m represents your slope.

Hence why it is -3.

For number 10. The slope is 0. I Forgot to write that on the pic

:)

Answer:

2

Step-by-step explanation:

The side length of the preimage is 4.5 and the side length of the image is 9. Since scale factor is image/preimage, the scale factor is 9/4.5 = 2

Answer:

1.

A: GI= 60

B:  MH= 14

C: IK= 23

D: HI=  46

E: MG= 24

2.

A: TU= 38

B: VY= 17

C: UZ= 15

D: WV= 15

E: TV= 30

Step-by-step explanation:

This probally isnt all right but most of it most likely is.

Ali gets £10

Beth gets £25

Step-by-step explanation:

The amount is divided into 7 equal parts since 2+5=7.

since Ali's name comes first, he gets 2 of the parts as the 2 is the first number in the ratio. Beth gets 5 parts, since her name is the second.

share the £35 between the 7 parts by dividing 35 by 7.

35÷7=5

Ali gets 5× £2= £10

Beth gets 5×£5 =£25

5×5=25 (Beth's portion)

Answer:

6 Lollipops in 5 bags and 6 KitKat Bars in 7 bags

Step-by-step explanation: Its 6 x 5 which equals 30 and 6 x 7 that equals 42. Hope it's correct :)

Answer:

6x^2 - 19x + 10 is the answer

Step-by-step explanation:

Lets use the FOIL method to expand,

(2x - 5)(3x -2)

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

This is the expanded version of the expression above!

here is a better way of explaining it,

(2x - 5) is the first equation now lets split it up

now its 2x and -5!

now you just multiply 2x and -5 to the second equation (3x - 2)

makes sense?

Lets Simplify it,

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

6x^2 - 4x - 15x + 10

6x^2 - 19x + 10

(tip: DON'T FORGET SAY ^2 because there are 2x's in the (2x*3x) part!)

Now you just simplify!

So as a result the answer is,

6x^2 - 19x + 10

Hope this helps :)

The income of the amusement park is a function of the price of the ticket

The entry price that will result in no income is $24

The expression for the income is given as:

[tex]96x - 4x^2[/tex]

When the income is 0, we have the following equation

[tex]96x - 4x^2 = 0[/tex]

Factor out 4x

[tex]4x(24 - x) = 0[/tex]

Split the equation

4x = 0 or 24 - x = 0

Solve for x

x = 0 or x = 24

This means that, the entry price that will result in no income is $24

Read more about income and expenses at:

https://brainly.com/question/13628349

Cathy and Iris have 259,459,200 ways to skip countries.

Data;

To solve this problem, we would have to use a mathematical procedure known as combination.

Let us calculate the number of countries that would have to skip.

[tex]13 - 9 = 4[/tex]

To decide which country they have to skip, it would be 4 out of 13.

[tex]x = ^1^3C_4 = \frac{13!}{4!}[/tex]

Let's solve this

[tex]\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways[/tex]

Cathy and Iris have 259,459,200 ways to skip countries.

Learn more on combination here;

https://brainly.com/question/12468032

Answer:

y =mx

Step-by-step explanation:

The second one is for the gradient

The third one is pythogras theorm

The last one is for the slope of a line(i'm not that sure about this one, sorry if its wrong)

Answer:

about 11 boys were on the track team last year.

Cylinder A can hold 6902.08 ft^3

Cylinder B can hold 5654.87 ft^3

6902.08 - 5654.87 = 1247.21

The amount that will be left over in container A is 1247.21

Answer:

B

Step-by-step explanation:

Answer:

inflation?

Step-by-step explanation:

nothing here

Answer:

that would be an example of inflation.

I noticed your question was not complete, so I hope this helps you as much as possible.

Answer:

height = 50 ft (nearest foot)

Step-by-step explanation:

This creates a right triangle, where:

Use the tan trig ratio to find the height.

[tex]\mathsf{\tan\theta=\dfrac{opposite \ side}{adjacent\ side}}[/tex]

[tex]\implies \mathsf{\tan(34.6)=\dfrac{height}{72}}[/tex]

[tex]\implies \mathsf{height=72\tan(34.6)}[/tex]

[tex]\implies \mathsf{height=50 \ ft \ (nearest\ foot)}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan34.6=\dfrac{x}{72}[/tex]

[tex]\\ \rm\Rrightarrow x=72tan34.6[/tex]

[tex]\\ \rm\Rrightarrow x=72(0.689)[/tex]

[tex]\\ \rm\Rrightarrow x=49.61ft[/tex]

Answer:

you have 1

you get 2

2+1=3

You now have 3 apples :)

Hey!

you have 3 apples.

2+1 is 3.

Answer:

T=50.99

Step-by-step explanation:

Given:

I=3,875.78

P=1,900

R=4% I.e 4/100 , 0.04

T=?

I=PRT

3,875.79=($1,900)(0.04)t

3,875.79=76t

3,875.79/76= t

T=50.99

Answer:

Step-by-step explanation:

The scenario describes charges as being dependent on the number of persons. That means the independent variable is the number of persons, and the dependent variable is the total charge.

(When we say "A depends on B", that automatically defines A as being the dependent variable, and B the independent variable.)

__

Additional comment

Perhaps you also want to know the relationship between the charges c and the number of persons p. That will be ...

  c = 7.80p +19.00

You know the rate per person from the fact that adding 10 people to the party raises the cost by $78. Then the 10-person charge includes a fixed fee of $97 -78 = $19.

The box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

A box plot shows the five-number summary of a data distribution which includes:

To create a a box plot for the data, we need to state out each data point given in the dot plot, which are:

2.3, 2.4, 2.4, 2.5, 2.6, 2.6, 2.7, 2.7, 2.8, 2.8

The five-number summary of the data points stated above would be:

Therefore, the box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

Learn more about box plot on:

https://brainly.com/question/14277132

Answer:

other guy is right

Step-by-step explanation:

Answer:

8x11/2= 44 it's 44

Step-by-step explanation:

A=44 = LW = (2W-3)W = 2W^2 -3W

2W^2-3W -44 = 0

(2W-11)(W+4) = 0

2W-11 = 0

2W = 11

W = 11/2 = 5 1/2 meters

L=2W-3 = 11-3 = 8

8x11/2= 44

length = 8 m,  width = 5 1/2 m

Penguins (P): 1 H + 2 Ft

Bears (B): 1 H + 4Ft

Heads Equation:  1P + 1B = 14   → -2(1P + 1B = 14)   →  -2P - 2B = -28

Feet Equation:    2P + 4B = 30 →   1(2P + 4B = 30)  →  2P + 4B = 30

                                                                                              2B = 2

                                                                                                B = 1

Heads Equation:  1P + 1B = 14   →  1P + 1(1) = 14  →  P = 13

Answer: 13 Penguins and 1 Bear

Answer:

Step-by-step explanation: we will first work out a

so 23 is the hypotenuse

a is the opposite

so what we need to do is 46sin(23) and that will give you 17.97 cm

next we will work out b

b is the adjacent

23 is the hypotenuse

so in this case we must do 46cos(23) and that will give you 42.34

last, we will work out B

a is 17.97 cm and its the adjacent

23 is the hypotenuse

so we do sin-1(17.97/23)= 51.38